A thermal instability in the non-relativistic planar magnetron
1990 ◽
Vol 44
(3)
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pp. 517-524
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Keyword(s):
It is well known that an anisotropic temperature distribution gives rise to thermal instability in many Systems. In their numerical simulations of a two-vane, non-relativistic planar magnetron, Thomas et al. reported a temperature anisotropy and a concomitant formation and growth of a swirling electron cloud bunch (convective cell). In this paper we present an analytic calculation of the shift in the eigenfrequencies by treating the thermal effects as a perturbation, while taking due account of the temperature anisotropy. We find the magnitude of the resulting rate to be of the order of that seen in the simulations.
2011 ◽
Vol 49
(7)
◽
pp. 998-1011
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1995 ◽
Vol 54
(2)
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pp. 157-172
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Keyword(s):
2007 ◽
Vol 17
(10)
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pp. 3651-3655
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1995 ◽
Vol 04
(01)
◽
pp. 161-165
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